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Paper Citation Record · LEDGER

Richardson volume models for skew Schur and skew Schur $P/Q$-functions

As of 16 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2608.10516.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2608.10516 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:38:01.352655Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

32 of 32 outbound references displayed

  • verified exact5
  • verified fuzzy13
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 191c9313-8ed7-4f22-a015-d59d1b6fbb80 · outbound

This paper cites an unresolved cited work.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:38:01.930152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 5eea5031-24ea-4416-b172-a5edc72f2c75 · outbound

This paper cites Postnikov--Stanley polynomials are Lorentzian.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Postnikov--Stanley polynomials are Lorentzian

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-15T14:38:01.218364Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:38:01.218364Z digest=sha256:f8e3306012137616331b6436826abb73b9694f3a30678f65b01f293350313165

Observation 93e5463b-4dc6-465e-b51b-82df039b8d56 · outbound

This paper cites The Quasisymmetric Grassmannian.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions The Quasisymmetric Grassmannian

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-15T14:38:01.590877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:38:01.223749Z digest=sha256:bac717debbebec3163aafb13bac7f3b57bc3b67450715fc104e9e6225c39cc06

Observation a8f149ba-edf9-46cf-ab2c-a1976e169582 · outbound

This paper cites Brändén and J.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Brändén and J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:38:01.917053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:38:01.228438Z digest=sha256:bd1d3195419aaae65d9a1f33a427b45f0bb2d85d851637aade5d9bdc71a45b6a

Observation f73871c2-b58b-48a8-a847-93878eec77b9 · outbound

This paper cites an unresolved cited work.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:38:01.903175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:38:01.232742Z digest=sha256:5c641a5ab8854587384d9bc649fe2c9b11745437de2e71fe0de4463aca4aea17

Observation 2a8e8821-41b1-427d-bbc4-a0a1083df941 · outbound

This paper cites Brion,Lectures on the geometry of flag varieties, in Topics in cohomological studies of algebraic varieties, Trends Math., Birkhäuser, Basel, 2005, pp.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Brion,Lectures on the geometry of flag varieties, in Topics in cohomological studies of algebraic varieties, Trends Math., Birkhäuser, Basel, 2005, pp

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:38:01.889977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:38:01.237164Z digest=sha256:3a15a5fde52cbf3777da1c343faf0607532e8b8ea4fad5b380a756855b5276f0

Observation adf910c6-d643-42d1-aa1d-e000d8e78182 · outbound

This paper cites Correlation inequalities for Schur positivity.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Correlation inequalities for Schur positivity

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-15T14:38:01.242005Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:38:01.242005Z digest=sha256:19c3b4f6793026e93bfd0b1539c1affc4f6e132c073edf847cfd189a2c5df80d

Observation b2effd17-e791-453e-89f3-77a820d4ed84 · outbound

This paper cites Chin and D.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Chin and D

Reference 8

Resolution
verified exact
raw_fallback, observed 2026-08-15T14:38:01.555742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:38:01.246613Z digest=sha256:8aae4b41458ca80700381220ac0f079c0f3ba3cd7ba4bfa0a9908b1fd929d241

Observation b71b72dd-95d6-480a-a808-99c6fbe09287 · outbound

This paper cites Mixed Segre zeta functions and their log-concavity.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Mixed Segre zeta functions and their log-concavity

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-15T14:38:01.464218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:38:01.250638Z digest=sha256:984020560c6ccdb31a8a490060e2308f4913cbe3da19dcff8eeb5974b4410676

Observation a4c053de-d9ff-408c-bef1-d1d7db6598d3 · outbound

This paper cites Fulton,Intersection theory, second ed., Ergebnisse der Mathematik und ihrer Grenzgebiete, vol.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Fulton,Intersection theory, second ed., Ergebnisse der Mathematik und ihrer Grenzgebiete, vol

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:38:01.875285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:38:01.255525Z digest=sha256:beb0dc564534e82ae7941f689405f89675786245699938b8437d222dc485adc9

Observation 55ca79d5-a4c4-4898-9a21-f2ed87bd157a · outbound

This paper cites Fulton and P.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Fulton and P

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:38:01.861884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:38:01.259879Z digest=sha256:5908726cb01bd0c47e5a615d751f0e9194ea0edb48dc171a3dcd989b4fc93a46

Observation 8bc04715-a775-4053-8181-b0157c407cb3 · outbound

This paper cites Fulton,Young tableaux, London Mathematical Society Student Texts, vol.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Fulton,Young tableaux, London Mathematical Society Student Texts, vol

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:38:01.848483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:38:01.265285Z digest=sha256:bace62f0cd28ffb947b66cbe1291003c9de012c7ff3db10120ab04a520fd09f9

Observation 0a4ccc87-8641-4e4f-9b82-82fcd8bd2d0b · outbound

This paper cites Linear operators preserving volume polynomials.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Linear operators preserving volume polynomials

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-15T14:38:01.269895Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:38:01.269895Z digest=sha256:eace69ca7784d51642f4d2cfa57121854bf8fd0056786c1dccbb99dbbdf87d88

Observation 6930def7-8a8d-451d-a07d-8f0270237f57 · outbound

This paper cites Hironaka,Resolution of singularities of an algebraic variety over a field of characteristic zero.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Hironaka,Resolution of singularities of an algebraic variety over a field of characteristic zero

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:38:01.834148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:38:01.274469Z digest=sha256:a0cfd8c4d6b2ef8486ffb9245612fb4ff5a51aef006991e9e5bf81ac881abaa9

Observation 89d1db9c-3661-466a-8274-59c1e6b61597 · outbound

This paper cites an unresolved cited work.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:38:01.820830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:38:01.278616Z digest=sha256:07b36b9d666391a621a5d38b83f5d559aec575e0a23fbb8c652d5429e8958d34

Observation 7fdbbbea-5664-4567-9782-99c76c6704ba · outbound

This paper cites Volume polynomials.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Volume polynomials

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-15T14:38:01.430436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:38:01.282812Z digest=sha256:29b7b5893b547ad5238501f1d119258971c8586d572e8a79e21a9ef035627621

Observation 80633a1a-e89e-4101-8d24-8f8b4f077551 · outbound

This paper cites Jiang and Z.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Jiang and Z

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:38:01.807478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:38:01.287442Z digest=sha256:4c4a201429f7883fc07079148a6850777d91b33a113de45716d5587428bc3afc

Observation d8183cdd-3e00-41de-9b34-3b5492bd246e · outbound

This paper cites A skew Murnaghan--Nakayama rule for Hopf dual pairs.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions A skew Murnaghan--Nakayama rule for Hopf dual pairs

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-15T14:38:01.410188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:38:01.291611Z digest=sha256:00e3a66f60a0eb10d06ec5ee13a1efe5604d287d904a1072536e5c6dd99659f4

Observation e2c674e9-3800-4b72-9e70-d0cb68038b77 · outbound

This paper cites Kresch and H.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Kresch and H

Reference 19

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verified fuzzy
raw_fallback, observed 2026-08-15T14:38:01.793824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:38:01.296157Z digest=sha256:5b6d7dfe4e30aca833e9c2ed52b0fbc185a2603ac823b1b4f91a28b5fd7aacb2

Observation 23dda8c0-a12d-47a8-89f3-efd50917ef01 · outbound

This paper cites an unresolved cited work.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:38:01.779926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:38:01.300659Z digest=sha256:9abab154c2609527ef492113aa89421200e740bb10b5e937c55d63d3cfc7768b

Observation fec4ba83-dbb7-415d-8a88-783331b0ccdd · outbound

This paper cites an unresolved cited work.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:38:01.766667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:38:01.304809Z digest=sha256:68500d2cd29eb1c62e09ac22a94d61e51a8af43f397df075cc904be23ee73a36

Observation b254c99b-39e7-4bd6-b79a-66441bc598db · outbound

This paper cites Lehmann and J.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Lehmann and J

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:38:01.752983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:38:01.308990Z digest=sha256:586860c47a83cdb7ff57db726a754b5c6d8ef964f37b93a2e246c592d5a7fb41

Observation 2755661f-fa28-445b-bcc8-cc15481160a5 · outbound

This paper cites an unresolved cited work.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:38:01.739679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:38:01.313112Z digest=sha256:0618e7be4775c4a8d3c8ae60e758da6b17269f964c89cf80cde7c00f88f3ea69

Observation c12edcfb-221e-4657-a5c9-db59456a6265 · outbound

This paper cites an unresolved cited work.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:38:01.725678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:38:01.317106Z digest=sha256:7b6623476063334df16b6b2075f466c60723fdd0ce6ffb2742e0aee003ccf60d

Observation 616a77f9-5bb6-4d1c-9879-08ad5212ea67 · outbound

This paper cites an unresolved cited work.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:38:01.712193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:38:01.321228Z digest=sha256:ddd4dee1a0fd176027ce82729c1fef1902b9aa2921be8fb32ce9d4e1f0ad82e2

Observation eb8c2ba6-2f3a-42d5-84ea-dfd03db14ea7 · outbound

This paper cites Monical, N.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Monical, N

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:38:01.697032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:38:01.325736Z digest=sha256:3e15f335203c98770edc8d8438fc0e84a0ff7a7664014f07c8a8e32f41ba46ad

Observation c7a71b36-f478-4c7b-a82f-864766e2dee4 · outbound

This paper cites Murota,Discrete convex analysis, SIAM Monographs on Discrete Mathematics and Applications, Society for Industrial and Applied Mathematics, Philadelphia, 2003.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Murota,Discrete convex analysis, SIAM Monographs on Discrete Mathematics and Applications, Society for Industrial and Applied Mathematics, Philadelphia, 2003

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:38:01.680221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:38:01.329904Z digest=sha256:ef32e6876de78593fbddf488bc8611b3cde67b3965c8c3f41ef18542e3e2c5c1

Observation 851af4e0-5737-4766-b220-799a6fd35ddb · outbound

This paper cites The geometry of quasisymmetric coinvariants.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions The geometry of quasisymmetric coinvariants

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-15T14:38:01.334114Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:38:01.334114Z digest=sha256:9407e5bb676a61402e29f6d152f421751bd091316885d52c8097c1d4b31be98e

Observation 54e3b1bf-a1aa-4cd8-af9c-4e6edf3a1d21 · outbound

This paper cites Rado,An inequality, J.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Rado,An inequality, J

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:38:01.665676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:38:01.339553Z digest=sha256:ee51da81a995e74b427c20783b5ac4c131fc6664f694f5314b73b259ef219f23

Observation c82b3a09-dab9-4cc2-8421-cf8f50c22eef · outbound

This paper cites Shaw and S.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Shaw and S

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:38:01.651515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:38:01.343628Z digest=sha256:3d80f4fcf7a671b586df5259ccc1ab7c2e8ff125bbfcfe8aac70092f294553fa

Observation 30b74b02-e667-475c-96bb-e508be4afc14 · outbound

This paper cites an unresolved cited work.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:38:01.636770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:38:01.348141Z digest=sha256:ce40220832b3efa49235b6d4b0e7ea9bedfa1b7a68105958ae7dab70e7b82c15

Observation d1fc6d7f-3d30-45c9-a492-750cc6c72ac7 · outbound

This paper cites an unresolved cited work.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:38:01.621028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:38:01.352655Z digest=sha256:e1886498a1509dc9b602d5d3cbe87bdb59cdff525e2c6df643666d73ce43b9b7

Pith citing papers

No inbound Pith citation observations are available.